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Finding the Fourth Proportional to 467.54, 700.25 and 284.54

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Solution

The fourth proportional to 467.54, 700.25 and 284.54 is: 426.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.54 : 700.25 = 284.54 : x
  2. Step 2: Convert to fraction form
    467.54/700.25 = 284.54/x
  3. Step 3: Cross multiply
    467.54x = 700.25 × 284.54
  4. Step 4: Simplify right side
    467.54x = 199,245.63
  5. Step 5: Solve for x
    x = 199,245.63/467.54
  6. Step 6: Final answer
    x = 426.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.